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A274461 Least common multiple of first n proper prime powers. 0
1, 4, 8, 72, 144, 3600, 10800, 21600, 1058400, 2116800, 6350400, 768398400, 3841992000, 7683984000, 1298593296000, 3895779888000, 7791559776000, 2251760775264000, 15762325426848000, 5690199479092128000, 11380398958184256000, 6020231048879471424000, 30101155244397357120000, 90303465733192071360000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Squares in this sequence include a(0)=1^2, a(1)=2^2, a(4)=12^2, a(5)=60^2, a(10)=2520^2, and a(11)=27720^2. Are there any more?

All terms in this sequence are powerful numbers (A001694).

LINKS

Table of n, a(n) for n=0..23.

MATHEMATICA

t = Join[{1}, Select[Range@ 1000, Min@ FactorInteger[#][[All, 2]] > 1 &]]; Union@ Table[LCM @@ t[[1 ;; n]], {n, 45}] (* Michael De Vlieger, Jun 24 2016, after Harvey P. Dale at A001694 *)

PROG

(PARI) alist(n)=my(pp=0, x=1); vector(n, k, while(isprimepower(pp++)<2&&pp!=1, 0); x=lcm(x, pp))

CROSSREFS

Cf. A051451, A246547, A001694.

Sequence in context: A228930 A051226 A013112 * A206346 A240503 A221484

Adjacent sequences:  A274458 A274459 A274460 * A274462 A274463 A274464

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters, Jun 23 2016

STATUS

approved

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Last modified October 23 14:24 EDT 2021. Contains 348214 sequences. (Running on oeis4.)